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Finding the Third Proportional to 129.94 and 140.34

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Solution

The third proportional to 129.94 and 140.34 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.94 : 140.34 = 140.34 : x
  2. Step 2: Convert to fraction form
    129.94/140.34 = 140.34/x
  3. Step 3: Cross multiply
    129.94x = 140.34 × 140.34
  4. Step 4: Simplify right side
    129.94x = 19,696.37
  5. Step 5: Solve for x
    x = 19,696.37/129.94
  6. Step 6: Final answer
    x = 151.58

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.